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Finding the Third Proportional to 58,746,816 and 127,253,376

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Solution

The third proportional to 58,746,816 and 127,253,376 is: 275,647,648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,746,816 : 127,253,376 = 127,253,376 : x
  2. Step 2: Convert to fraction form
    58,746,816/127,253,376 = 127,253,376/x
  3. Step 3: Cross multiply
    58,746,816x = 127,253,376 × 127,253,376
  4. Step 4: Simplify right side
    58,746,816x = 16,193,421,703,397,376
  5. Step 5: Solve for x
    x = 16,193,421,703,397,376/58,746,816
  6. Step 6: Final answer
    x = 275,647,648.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.